Skip to main content

Declarative Modeling of fair shapes: An additional approach to curves and surfaces computations

  • Chapter
  • 56 Accesses

Abstract

Present day modeling systems constrain the designer to describe the studied object by means of lists of coordinates, values or geometric primitives which are often complex and tedious to create. Declarative modeling allows us to create shapes by only providing a set a geometric, topological or physical properties. The computer explores the universe of potential shapes, selecting those corresponding to the given definition. Using suitable tools, the designer chooses one or several shapes. A first example of curve modeling using declarative mechanisms is detailed.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Lucas, M., Martin, D., Martin, P., Plémenos, D.: Le projet ExploFormes, quelques pas vers la modélisation déclarative de formes, Bigre n. 67 (1990), 35–49.

    Google Scholar 

  2. Lucas, M.: Equivalence Classes in Object Shape Modelling, IFIP TCS/WG 5.10 Working Conference in Computer Graphics, Tokyo (1991), 8–12.

    Google Scholar 

  3. Desmontils, E.: Les modeleurs déclaratifs, Research Report IRIN n. 95 (1995).

    Google Scholar 

  4. Martin, D., Martin, P.: Declarative Generation of a Family of Polyhedra, Graphicon’93, Saint-Petersburg (1993).

    Google Scholar 

  5. Chauvat, D., Martin, P., Lucas, M.: Modélisation déclarative et contrôle spatial, Revue Internationale de CFAO et d’Infographie 8 (1) (1994), 41–49.

    Google Scholar 

  6. Hoffmann, C. M., Peters, J.: Geometric Constraints for CAGD, in Mathematical Methods for Curves and Surfaces, In M. Dæhlen, T. Lyche, and L. L. Schumaker (eds.): Mathematical Methods in CAGD III, (1995), 237–254.

    Google Scholar 

  7. Bouma, W., Fudos, I., Hoffmann, C., Cai, J., Paige, R.: A Geometric Constraint Solver, Computer Aided Design 27 (1995), 487–502.

    Article  MATH  Google Scholar 

  8. Wesselink, W., Veltkamp, R. C.: Interactive Design of Constrained Variational Curves, Computer Aided Geometric Design 12 (1995), 533–546.

    Article  MathSciNet  MATH  Google Scholar 

  9. Daniel, M.: Une première approche de la modélisation déclarative de courbes, Research Report IRIN n. 81 (1995).

    Google Scholar 

  10. Farin, G.: Curves and Surfaces for Computer Aided Geometric Design — A Practical Guide. 3. ed. Academic Press 1993.

    Google Scholar 

  11. Stone, M. C., Derose, T. D.: A Geometric Characterization of Parametric Cubic Curves, ACM Transactions on Graphics 8, n. 3 (1989), 147–163.

    Article  MATH  Google Scholar 

  12. Kantorowitz, E., Schechner, Y.: Managing the Shape of Planar Spline by their Control Points, Computer Aided Design 25 (1993), 355–364.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 B. G. Teubner Stuttgart

About this chapter

Cite this chapter

Daniel, M. (1996). Declarative Modeling of fair shapes: An additional approach to curves and surfaces computations. In: Hoschek, J., Kaklis, P.D. (eds) Advanced Course on FAIRSHAPE. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-82969-6_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-322-82969-6_7

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-519-02634-1

  • Online ISBN: 978-3-322-82969-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics